Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135d |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20765636745 = 3 · 5 · 77 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46126641,120560941374] |
[a1,a2,a3,a4,a6] |
j |
92255222857130255543041/176505 |
j-invariant |
L |
0.7523117500308 |
L(r)(E,1)/r! |
Ω |
0.37615587501572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90405bu6 4305m5 |
Quadratic twists by: -3 -7 |